Robert Schoen (ed.): Dynamic Population Models Springer, Dordrecht, 2006, XV + 252 pp Dalkhat M. Ediev Published online: 8 November 2007 Ó Springer Science+Business Media B.V. 2007 This is the 17th book of the outstanding Springer Series on Demographic Methods and Population Analysis, where the first book was also by Schoen (1987). The book is a rich collection of results on demographic models addressing the implications of the dynamics of demographic rates. To most of topics covered in this book the author has, either on his own or together with other colleagues, contributed considerably to mathematical demography. The book consists of nine chapters, three appendices, the reference list, and indexes. Each chapter is provided with a list of thoroughly prepared exercises, which will be helpful for those who might use the book for study or for teaching mathematical demography. All appendices are very useful supplements. Appendix A presents a brief introduction to matrices with stress on their eigenstructure, which facilitates studying discrete population models. The second appendix gives answers to selected exercises from each of the chapters, and the last appendix gives a helpful collection of consistent notations of mathematical demography with references to where they were introduced in the book. The book starts with constant-rate models. The first chapter presents an excellent concise review of the mathematics of single- and multi-state life tables and stable populations, largely reproducing the previous book of the same author in the Springer Series. The chapter is a valuable collection of relations, although Eq. 1.39, which is only an approximate to both continuous and discrete models, may confuse the reader. Exact relation for discrete models may be derived from Eq. 1.45. D. M. Ediev (&) Vienna Institute of Demography, Austrian Academy of Sciences, Wohllebengasse 12-14, 6th floor, 1040, Vienna, Austria e-mail: dalkhat.ediev@oeaw.ac.at 123 Eur J Population (2008) 24:119–124 DOI 10.1007/s10680-007-9140-8